1121896166416 has 135 divisors (see below), whose sum is σ = 2359289894871. Its totient is φ = 516752070912.

The previous prime is 1121896166401. The next prime is 1121896166491. The reversal of 1121896166416 is 6146616981211.

The square root of 1121896166416 is 1059196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 43422224400 + 1078473942016 = 208380^2 + 1038496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2825934730 + ... + 2825935126.

Almost surely, 2^{1121896166416} is an apocalyptic number.

1121896166416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1121896166416 is the 1059196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121896166416

1121896166416 is an abundant number, since it is smaller than the sum of its proper divisors (1237393728455).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121896166416 is an frugal number, since it uses more digits than its factorization.

1121896166416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 451 counting only the distinct ones).

The product of its digits is 746496, while the sum is 52.

The spelling of 1121896166416 in words is "one trillion, one hundred twenty-one billion, eight hundred ninety-six million, one hundred sixty-six thousand, four hundred sixteen".